TSI - Texas Success Initiative Algebraic Reasoning and Functions Questions and Answers

Question 1

A rectangular garden has a length that is 5 feet longer than its width, w. The area of the garden is 104 square feet. Which of the following equations can be used to find the width of the garden?

Accepted Answer

w(w + 5) = 104

Answer

w + (w + 5) = 104

Answer

2w + 2(w + 5) = 104

Answer

w^2 + 5 = 104

Question 2

If f(x) = 3x^2 - 4x + 1, what is the value of f(-2)?

Accepted Answer

21

Answer

5

Answer

-3

Answer

1

Question 3

Which of the following is equivalent to the expression (2x - 3)(x + 4)?

Accepted Answer

2x^2 + 5x - 12

Answer

2x^2 - 5x - 12

Answer

2x^2 + 11x + 12

Answer

2x^2 - 12

Question 4

A cell phone plan costs $20 per month plus $0.15 for each text message sent. Which function can be used to find the total monthly cost, C(t), for sending 't' text messages?

Accepted Answer

C(t) = 20 + 0.15t

Answer

C(t) = 20t + 0.15

Answer

C(t) = 20 - 0.15t

Answer

C(t) = 20.15t

Question 5

If 4(x - 2) + 5x = 3(x + 4), what is the value of x?

Accepted Answer

x = 10/3

Answer

x = 1/3

Answer

x = 2

Answer

x = 10

Question 6

The graph of a quadratic function opens downwards and has a vertex at (3, -2). Which of the following could be the equation of the function?

Accepted Answer

y = -(x - 3)^2 - 2

Answer

y = (x - 3)^2 - 2

Answer

y = (x + 3)^2 - 2

Answer

y = -(x + 3)^2 + 2

A rectangular garden has a length that is 5 feet longer than its width, w.The area of the garden is 104 square feet.Which of the following equations can be used to find the width of the garden?

A rectangular garden has a length that is 5 feet longer than its width, w.
The area of the garden is 104 square feet.
Which of the following equations can be used to find the width of the garden?